Particle-hedra: Generating Polyhedra with Inter-Particle Forces

Year: 2024 Authors: Jeffrey Ventrella

Core claim

Interacting particles with tuned attraction and repulsion can converge to polyhedral vertices, enabling algorithmic generation of many symmetric 3D models from tetrahedral, octahedral, and icosahedral seeds.

Topics

polyhedral symmetry, particle simulation, algorithmic generation, educational visualization

Domains

geometry, polyhedra, symmetry groups, Thomson problem, generative art, 3D modeling, visualization, interactive design

Methods

3D force simulation, random initialization, pairwise repulsion, central attraction

Media

interactive web application, translucent unit sphere, particle renderings, screenshot animations

Source status

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